1. The set of values of x satisfying 26 = 5 (mod x) is a. {3,7} b. {1,3,7} c. {3,2,1} d. {3,7,21} 2. The set of value of x satisfying 3x = 2 (mod5) is a. 1 b. 2 c. 3 d. 4 3. Which of the following relations on {0,1,2,3} is an equivalence relation. a. {(0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3)} b. {(0,0), (1,1), (2,2), (3,3)} c. {(0,0), (0,1), (0,2), (1,0), (1,1), (12), (2,0)} d. {(0,0), (0,2), (2,3), (1,1), (2,2)}

Q: 1. Halla el valor de las siguientes expresiones 1. 58 + 39 x 11 x 33 +24 = 2. 31 x 2 + 48 x 12 + 3 x…

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Q: 3. Every nonzero number has a reciproc Which of the following statements are correct? All nonzero…

A: 3. all options are correct

Q: 2. Consider the following labeling scheme for the set of rational numbers Q = {†, where a E I, and…

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Q: 4.A.3. Given any two real numbers, there is a real numbers in between. b. For any two such that a…

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Q: Let c, ax, be nonzero real numbers such that e. Find a given that ac² n=3 16 Ch Türkçe: c, a, 3…

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Q: Let A = AB= 1 -1 2 0 5 1 -2 0 −1 14 -57 3 [-2 27 -32 0 -5 2 -1 1 0 -7 1 X -2 and B = 5 2 Find x such…

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Q: C1. A. 32 B. 234 C. 238 The multiplicative inverse of 177 mod 260 is D. 37 E. does not exist F. none…

A: To find the multiplicative inverse of 177(mod260).

Q: .18 Let x, a and 8 be real numbers. Show that the statements |x-al < 8 and a -8 < x < a +8 are…

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Q: 3. Let S be the congruent modulo 2 relation on Z, that is m S n 2|(m-n). Show the relation

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Q: Suppose m is a natural number and 2 m and 3|m. Prove that 6|m.

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Q: Suppose A₁, A2, ..., A30 are thirty sets each having 5 elements and B₁, B₂, ..., B₁ are n sets each…

A: Given that A1, A2, . . ., A30 are thirty sets each having 5 elements and B1, B2, . . ., Bn  are 'n'…

Q: 6. Let x and y be integer. Prove the following x + y is odd if and only if x² + y² is odd.

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Q: State the scope of each quantifier in the following expression: "3y, [R(x, y) ^ Vx (~P(x, y) ^ Q(x,…

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Q: In each of the following cases represent 21, 22 and 2₁ +22 in an Argand diagram and verify that…

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Q: Let C; = {i, -i} for all nonnegative integers i. a. U C₁ =? i=0 c. Are Co, C₁, C₂,... mutually…

A: According to guideline we need to solve only 1st three subparts

Q: Exercise 8. [1, 2.2.10] Show that F₂Q1v₂ [c] iff a Vv₂Qcv₂ Here Q is a two-place predicate symbol…

A: Given information:A first-order logic structure denoted as A.Q is a two-argument predicate symbol.c…

Q: If 3 1 0 A = | 5 2 -1 1 4 - 2 The adjoint of A is -1 1 9 9. 18 - 6 3 -11 – 11 1 True False

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Q: 7. Which interval is the real number t in such that the following A is PD A = 5 -1 3 -1 3 2 t t 3

A: Given matrix is                                 therefore A is symmetric matrix.…

Q: Determine the value of k that satisfies the following identity (x is a variable). +k = In(x + ab?)…

A: Given equation is: lna+xb2+k=lnx+ab2 To evaluate value of k k=ln(x+ab2)-lna+xb2…

Q: tet A= 2J ndb- -9 12.-6 -6 -4. and let be the Set of all bineaa Corabinationef Callemng of A -the As…

A: A=3-42-912-6-68-4, b=000 (a) Set of all linear combination of column of A w=a3-9-6+b-4128+c2-6-4 Let…

Q: Q13/ A/ Find A-B? * 1 11 B= | 2 15 If A = 2 4 -4 find .3 4] 3

A: Here, A=112434,B=0-12-453

Q: (3w²v-3) (9-¹w-4v-6) 3w²v −³) (9−¹w¯4v¯6) = (Use positive expor

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Q: VI. Determine four values of x that will satisfy the following. 16. x = 4 mod 5 & x = 3 mod 7

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Q: . Let x be a positive real number and d be a positive integer. Prove that the number of positive…

A: [.] is the greatest integer function.

Q: 1 1 2 3 4 L.O.20-Determining and evaluating expressions 3.) Evaluate the following expressions using…

A: We want to evaluate and find equation of the given problem.

Q: 3. Let S be the congruent modulo 2 relation on Z,that is m S n→ 2|(m-n) . Show the relation

A: A relation is called symmetric if for any  if  then we have .

Q: 1 If the N(A) consists of all multiples of x = , then the rank of A 4 is: а. 3 O b. 2 O C. 4 O d. 1…

A: It is clear that from N(A)

Q: Let m and n be integers. Recall that we say an integer a is even if a=2b for some integer b. We say…

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Q: 11. Establish the following relation between Fibonacci and Lucas numbers: L, = un + 2un-1 for all n…

A: Remark: We know that both the Fibonacci numbers and  Lucas numbers are obtained as the sum of its…

Q: 1. Let a and b be integers. Prove that GCD(a,b) divides GCD(a+b, a−b). Give an example when GCD(a,b)…

A: Let, GCD(a, b) = d1 =&gt; d1 | a and d1 | b=&gt; d1 | (a + b) and d1 | (a - b) =&gt; d1 is a common…

Q: 7. Construct a 1-1 correspondence between [0, 100] and [32, 212|].

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